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Finding the Fourth Proportional to 312,306.09, 468,458.70 and 75,648.12

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Solution

The fourth proportional to 312,306.09, 468,458.70 and 75,648.12 is: 113,472.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,306.09 : 468,458.70 = 75,648.12 : x
  2. Step 2: Convert to fraction form
    312,306.09/468,458.70 = 75,648.12/x
  3. Step 3: Cross multiply
    312,306.09x = 468,458.70 × 75,648.12
  4. Step 4: Simplify right side
    312,306.09x = 35,438,019,952.64
  5. Step 5: Solve for x
    x = 35,438,019,952.64/312,306.09
  6. Step 6: Final answer
    x = 113,472.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.